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Finding the Fourth Proportional to 13,803.98, 20,691.08 and 6,775.81

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Solution

The fourth proportional to 13,803.98, 20,691.08 and 6,775.81 is: 10,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.98 : 20,691.08 = 6,775.81 : x
  2. Step 2: Convert to fraction form
    13,803.98/20,691.08 = 6,775.81/x
  3. Step 3: Cross multiply
    13,803.98x = 20,691.08 × 6,775.81
  4. Step 4: Simplify right side
    13,803.98x = 140,198,826.77
  5. Step 5: Solve for x
    x = 140,198,826.77/13,803.98
  6. Step 6: Final answer
    x = 10,156.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.